The use of angles and angular rates. II - Multiple observation initial orbit determination

Details The use of angles and angular rates. II - Multiple observation initial orbit determination The use of angles and angular rates. II - Multiple observation initial orbit determination

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..281t&link_type=abstract

Celestial Mechanics, vol. 21, Apr. 1980, p. 281-290. USAF-sponsored research.

Mathematics

2

Angular Velocity, Celestial Mechanics, Orbit Calculation, Satellite Orbits, Statistical Analysis, Angles (Geometry), Covariance, Matrices (Mathematics), Maximum Likelihood Estimates, Newton-Raphson Method

Scientific paper

Earlier work on the angles and angular rate initial orbit determination problem has been extended to allow the incorporation of arbitrary amounts and mixtures of angles and angular rate data. The statistical estimation technique used is that of Maximum Likelihood. Numerical test on six widely different satellite orbits indicate that the orbital elements can generally be computed to 1% from data acquired during a single apparition.

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